220720032000 has 1152 divisors, whose sum is σ = 899604625920. Its totient is φ = 52951449600.

The previous prime is 220720031999. The next prime is 220720032031. The reversal of 220720032000 is 230027022.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×220720032000³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 482975772 + ... + 482976228.

Almost surely, 2^220720032000 is an apocalyptic number.

220720032000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220720032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449802312960).

220720032000 is an abundant number, since it is smaller than the sum of its proper divisors (678884593920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

220720032000 is a wasteful number, since it uses less digits than its factorization.

220720032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

Adding to 220720032000 its reverse (230027022), we get a palindrome (220950059022).

The spelling of 220720032000 in words is "two hundred twenty billion, seven hundred twenty million, thirty-two thousand".